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57229495104 = 2634147154681
BaseRepresentation
bin110101010011001001…
…001100101101000000
312110201102101120111210
4311103021030231000
51414201222320404
642142454410120
74064125452645
oct652311145500
9173642346453
1057229495104
11222a86157a1
12b112060940
135520789192
142aac949dcc
15174e3e2689
hexd5324cb40

57229495104 has 112 divisors (see below), whose sum is σ = 158414167296. Its totient is φ = 18215116800.

The previous prime is 57229495097. The next prime is 57229495121. The reversal of 57229495104 is 40159492275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292644 + ... + 447324.

It is an arithmetic number, because the mean of its divisors is an integer number (1414412208).

Almost surely, 257229495104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57229495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79207083648).

57229495104 is an abundant number, since it is smaller than the sum of its proper divisors (101184672192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57229495104 is a wasteful number, since it uses less digits than its factorization.

57229495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154784 (or 154774 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 57229495104 in words is "fifty-seven billion, two hundred twenty-nine million, four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 82 94 96 123 141 164 188 192 246 282 328 376 492 564 656 752 984 1128 1312 1504 1927 1968 2256 2624 3008 3854 3936 4512 5781 7708 7872 9024 11562 15416 23124 30832 46248 61664 92496 123328 154681 184992 309362 369984 464043 618724 928086 1237448 1856172 2474896 3712344 4949792 6341921 7270007 7424688 9899584 12683842 14540014 14849376 19025763 21810021 25367684 29080028 29698752 38051526 43620042 50735368 58160056 76103052 87240084 101470736 116320112 152206104 174480168 202941472 232640224 298070287 304412208 348960336 405882944 465280448 596140574 608824416 697920672 894210861 1192281148 1217648832 1395841344 1788421722 2384562296 3576843444 4769124592 7153686888 9538249184 14307373776 19076498368 28614747552 57229495104